Many teens have posted profiles on sites such as Facebook. A sample survey asked random samples of teens with online profile if they included false information in their profiles. Of 170 younger teens (ages 12 to 17) polled, 117 said "Yes." Of 317 older teens (ages 15 to 17) polled, 152 said "Yes." A 95% confidence interval for py - Po = the true difference in the proportion of younger teens and older teens who include false information in their profile is 0.12 to 0.297. Does the confidence interval give convincing evidence of a difference in the true proportions of younger and older teens who include false information in their profiles? Explain your answer. Even though this confidence interval does not include 0, this might not occur again in different samples. There is not enough evidence to make a conclusion regarding the true difference in the proportion of younger teens and older teens who include false information on their profiles. No. We are 95% confident that the interval from 0.120 to 0.297 captures the true difference (Younger - Older) in the proportions of all younger teens and older teens who include false information on their profiles. Because we are not 100% certain, there is not convincing evidence that there is a difference in the proportion of younger teens and older teens who include false information on their profiles. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, we know for certain that older students tend to include false information in their profiles more often than younger students. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles. No. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is not convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles.

Many teens have posted profiles on sites such as Facebook. A sample survey asked random samples of teens with online profile if they included false information in their profiles. Of 170 younger teens (ages 12 to 17) polled, 117 said "Yes." Of 317 older teens (ages 15 to 17) polled, 152 said "Yes." A 95% confidence interval for py - Po = the true difference in the proportion of younger teens and older teens who include false information in their profile is 0.12 to 0.297. Does the confidence interval give convincing evidence of a difference in the true proportions of younger and older teens who include false information in their profiles? Explain your answer. Even though this confidence interval does not include 0, this might not occur again in different samples. There is not enough evidence to make a conclusion regarding the true difference in the proportion of younger teens and older teens who include false information on their profiles. No. We are 95% confident that the interval from 0.120 to 0.297 captures the true difference (Younger - Older) in the proportions of all younger teens and older teens who include false information on their profiles. Because we are not 100% certain, there is not convincing evidence that there is a difference in the proportion of younger teens and older teens who include false information on their profiles. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, we know for certain that older students tend to include false information in their profiles more often than younger students. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles. No. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is not convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:Many teens have posted profiles on sites such as Facebook. A sample survey asked random samples of teens with online profile if they included false information in their profiles. Of 170 younger teens (ages 12 to 17) polled, 117 said "Yes." Of 317 older teens (ages 15 to 17) polled, 152 said "Yes." A 95% confidence interval for py - Po = the true difference in the proportion of younger teens and older teens who include false information in their profile is 0.12 to 0.297. Does the confidence interval give convincing evidence of a difference in the true proportions of younger and older teens who include false information in their profiles? Explain your answer. O Even though this confidence interval does not include 0, this might not occur again in different samples. There is not enough evidence to make a conclusion regarding the true difference in the proportion of younger teens and older teens who include false information on their profiles. No. We are 95% confident that the interval from 0.120 to 0.297 captures the true difference (Younger - Older) in the proportions of all younger teens and older teens who include false information on their profiles. Because we are not 100% certain, there is not convincing evidence that there is a difference in the proportion of younger teens and older teens who include false information on their profiles. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, we know for certain that older students tend to include false information in their profiles more often than younger students. Yes. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles. No. Because the 95% confidence interval does not include 0 as a plausible value for the difference in proportions, there is not convincing evidence of a difference in the proportion of younger teens and older teens who include false information on their profiles.

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